What is the slope of the line passing through the following points: $(- 4, - 1), (1, 6)$ $(-4, -1), (1,6)$ ?

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Answer 1 · 2016-03-31T17:13:57

Slope $= \frac{7}{5}$ $= (7 )/(5)$

The coordinates are:
$(- 4, - 1) = x_{1}, y_{1}$ $(-4, - 1) = color(blue)(x_1 , y_1$

$(1, 6) = x_{2}, y_{2}$ $(1 , 6) = color(blue)(x_2 , y_2$

Slope is calculated using formula:

Slope $= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $=color(blue)((y_2 - y_1) / (x_2 - x_1)$
(change in $y$ $y$ axis divided by change in $x$ $x$ axis)

$= \frac{6 - (- 1)}{1 - (- 4)}$ $= (6 - (-1))/(1 - (-4))$

$= \frac{6 + 1}{1 + 4}$ $= (6 + 1 )/(1 + 4)$

$= \frac{7}{5}$ $= (7 )/(5)$

What is the slope of the line passing through the following points: (-4, -1), (1,6) (−4,−1),(1,6) (-4, -1), (1,6) ?